Use the graphical interpretation of the definite integral to explain the inequality where is continuous. Explain

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Use the graphical interpretation of the definite integral to explain the inequality

[ f 1500 sa f(x) dx  x) dx : |f(x) dx

where ƒ is continuous. Explain also why equality holds if and only if either ƒ(x) ≥ 0 for all x or ƒ(x) ≤ 0 for all x.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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